`BookProof.SmBrstGhost.epsZ_jacobi` : ∀ a b c h : Fin 3, ∑ e, (epsZ a b e * epsZ e c h + epsZ b c e * epsZ e a h + epsZ c a e * epsZ e b h) = 0

Proved

BookProof.SmBrstGhost.epsZ_jacobi

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.epsZ_jacobi : ∀ a b c h : Fin 3, ∑ e, (epsZ a b e * epsZ e c h + epsZ b c e * epsZ e a h + epsZ c a e * epsZ e b h) = 0

Formalization note: Lean 4 identifier BookProof.SmBrstGhost.epsZ_jacobi.

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.epsZ_jacobi
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
open BookProof.SmBrstGhost



open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3

noncomputable section

Formal statement

theorem BookProof.SmBrstGhost.epsZ_jacobi : ∀ a b c h : Fin 3,
    ∑ e, (epsZ a b e * epsZ e c h + epsZ b c e * epsZ e a h + epsZ c a e * epsZ e b h) = 0 := by sorry

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